Gus has a fish tank that holds 4710 inches cubed of water. he is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank. how many times will gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop

Hence, the number of times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop is:

                        3 times

The amount of water that a tank can hold is: 4710 inches cube.

This means that the volume of tank is: 4710 cubic inches.

Also, the bucket is in the shape of a cylinder with radius 5 inches and height 20 inches.

This means that the Volume of bucket is given by:

where r denotes radius and h denotes height.

Hence, Volume of bucket is:

Let n be the number of times Gus need to fill the bucket to completely fill the fish tank

Hence, we have:

 Volume of fish tank= n × Volume of Bucket

i.e.  

               Hence, the answer is:

                          3

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

its 4 because 2 times 2 is 4, if you double the number two you get four